If a translation of t 2,-7(x, y) is applied to triangle abc, what are the coordinates of b’?

ok , let me start from the meaning of word translation .

translation means moving an object by a certain distance in any direction.

the nature of the object i.e shape, size does not change. neither the figure is

reflected, nor rotated.

as δ abc is translated, it is not given it is translated in which direction

so,(2,-7) lies in fourth quadrant.

if translation of t units is applied to the coordinates of b (2,-7) i.e x in right direction,and y in up   then new coordinates, b'=(2+t, -7+t)

if translation of t units is applied to the coordinates of b(2,-7) i.e x in right direction,and y in down   then new coordinates, b'=(2+t, -7-t)

if translation of t units is applied to the coordinates of b(2,-7) i.e x in left direction,and y in up   then new coordinates, b'=(2-t, -7+t)

if translation of t units is applied to the coordinates of b(2,-7) i.e x in left direction,and y in down   then new coordinates, b'=(2-t, -7-t)

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!